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Finding the Fourth Proportional to 764.55, 1,144.40 and 398.84

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Solution

The fourth proportional to 764.55, 1,144.40 and 398.84 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,144.40 = 398.84 : x
  2. Step 2: Convert to fraction form
    764.55/1,144.40 = 398.84/x
  3. Step 3: Cross multiply
    764.55x = 1,144.40 × 398.84
  4. Step 4: Simplify right side
    764.55x = 456,424.78
  5. Step 5: Solve for x
    x = 456,424.78/764.55
  6. Step 6: Final answer
    x = 596.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.